Finding the Fourth Proportional to 2,469.89, 3,704.64 and 826.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.89 : 3,704.64 = 826.23 : x
2. Step 2: Convert to fraction form
   2,469.89/3,704.64 = 826.23/x
3. Step 3: Cross multiply
   2,469.89x = 3,704.64 × 826.23
4. Step 4: Simplify right side
   2,469.89x = 3,060,864.24
5. Step 5: Solve for x
   x = 3,060,864.24/2,469.89
6. Step 6: Final answer
   x = 1,239.27